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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

Academic produces another book
2009-12-01

 Academic, author and motivational speaker, Dr Michael van Wyk (pictured), has written another book titled Cooperative learning as a teaching strategy for the classroom: A practical guide for economics teachers.
His latest offering provides a sound theoretical framework and practical ways on how to implement the different cooperative learning techniques. It unpacks the practical aspects of the outcomes-based approach, the National Curriculum Statement for the Further Education and Training phase and cooperative learning techniques for the economics classroom.
This easy-to-read book offers a thorough introductory text for economics teachers and economics students, as well as lecturers and researchers.
“This theoretical and practical guide will support Economics teachers to present their subject in practical ways that are meaningful and learner centred,” he said.
“If this can be achieved, learners will engage effectively in the subject and an interest in the learning content may be evoked.”
The book covers the following aspects:
  • It introduces the foundations of the outcomes-based education approach (OBE) and the new curriculum model for South African schools.
  • It examines the theoretical underpinnings and practical application of cooperative learning as a teaching strategy.
  • It provides practical guidelines for application of cooperative learning techniques.
 
“This book gives an outline, in a constructive way, on how to apply the cooperative learning techniques such as Teams Games Tournaments (TGT), Student Teams Achievement Divisions (STAD), role-play, simulations, Economics quizzes, small group teaching and research projects in the classroom,” he said.
 
“These techniques have the potential to make a positive contribution to the enhancement of academic performances, development of social skills and an improvement of the learning skills of the learners.”
 
The book is designed as a theoretical and practical guide for Economics Education students, Economics teachers, Learning Area Economics and Management Science facilitators, Curriculum developers, Economics subject advisors, researchers and trainers; for the successful implementation of cooperative learning as a teaching strategy.
 
Dr Van Wyk is a staff member of the Department of Curriculum Studies in the Faculty of Education at the University of the Free State (UFS). He also serves on the board of the South African Foundation on Economics and Financial Education (SAFEFE).
Photo: Mangaliso Radebe

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